Reflective-coreflective equivalence

Erik Bédos, S. Kaliszewski, and John Quigg

We explore a curious type of equivalence between certain pairs of
reflective and
coreflective subcategories. We illustrate with examples involving
noncommutative duality
for $C^*$-dynamical systems and compact quantum groups, as well as
examples where the
subcategories are actually isomorphic.